Find the equation of the plane through the points `A(2,2,-1),B(3,4,2)a n dC(7,0,6.)`

Explanation

To find the equation of the plane passing through the points \( A(2, 2, -1) \), \( B(3, 4, 2) \), and \( C(7, 0, 6) \), we can follow these steps:

### Step 1: Find the vectors \( \vec{AB} \) and \( \vec{AC} \)

1. **Calculate vector \( \vec{AB} \)**:
\[ \vec{AB} = B - A = (3 - 2, 4 - 2, 2 - (-1)) = (1, 2, 3) \]
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